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Finding the Fourth Proportional to 209,952,262.80, 314,928,394.20 and 189,796,870.80

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Solution

The fourth proportional to 209,952,262.80, 314,928,394.20 and 189,796,870.80 is: 284,695,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,262.80 : 314,928,394.20 = 189,796,870.80 : x
  2. Step 2: Convert to fraction form
    209,952,262.80/314,928,394.20 = 189,796,870.80/x
  3. Step 3: Cross multiply
    209,952,262.80x = 314,928,394.20 × 189,796,870.80
  4. Step 4: Simplify right side
    209,952,262.80x = 59,772,423,745,228,872
  5. Step 5: Solve for x
    x = 59,772,423,745,228,872/209,952,262.80
  6. Step 6: Final answer
    x = 284,695,306.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.